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201200022021201 = 37611732251403327
BaseRepresentation
bin101101101111110110000111…
…110101110110010001010001
3222101101112102110202221221220
4231233312013311312101101
5202332430121114134301
61551530003014035253
760244136052225360
oct5557660765662121
9871345373687856
10201200022021201
11591214a5180285
121a695ab4348b29
1388361082b6c88
1437981c10417d7
15183da1ab79936
hexb6fd87d76451

201200022021201 has 64 divisors (see below), whose sum is σ = 313557847965696. Its totient is φ = 112382756640000.

The previous prime is 201200022021191. The next prime is 201200022021233. The reversal of 201200022021201 is 102120220002102.

It is not a de Polignac number, because 201200022021201 - 25 = 201200022021169 is a prime.

It is a super-2 number, since 2×2012000220212012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201200022021601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498649200 + ... + 499052526.

It is an arithmetic number, because the mean of its divisors is an integer number (4899341374464).

Almost surely, 2201200022021201 is an apocalyptic number.

201200022021201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201200022021201 is a deficient number, since it is larger than the sum of its proper divisors (112357825944495).

201200022021201 is a wasteful number, since it uses less digits than its factorization.

201200022021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405822.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201200022021201 its reverse (102120220002102), we get a palindrome (303320242023303).

The spelling of 201200022021201 in words is "two hundred one trillion, two hundred billion, twenty-two million, twenty-one thousand, two hundred one".

Divisors: 1 3 7 21 61 173 183 427 519 1211 1281 2251 3633 6753 10553 15757 31659 47271 73871 137311 221613 389423 403327 411933 961177 1168269 1209981 2725961 2823289 2883531 8177883 8469867 23754803 24602947 69775571 71264409 73808841 166283621 172220629 209326713 488428997 498850863 516661887 907889077 1465286991 2723667231 4256309831 6355223539 12768929493 19065670617 29794168817 55381233697 89382506451 157064810321 166143701091 387668635879 471194430963 1099453672247 1163005907637 3298361016741 9580953429581 28742860288743 67066674007067 201200022021201